LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 955/396, 2498/1814

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 955/396, 2498/1814 i.e 1/359172 easily. The following is the detailed procedure to determine the greatest common factor of fractions 955/396, 2498/1814.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 955/396,2498/1814?

Given fractions are 955/396,2498/1814

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 955/396,2498/1814, numerators are 955,2498

Denominators are 396,1814

The GCF of 955,2498 is 1 .

LCM of 396,1814 is 359172.

The greatest common factor of 955/396,2498/1814 = [GCF of 955,2498]/[LCM of 396,1814]= 1/359172

Therefore, the GCF of 955/396,2498/1814 is 1/359172.

Greatest Common Factor of 955,2498

To find the highest common factor of 955,2498, we have to find the factors of both numbers and list the highest common factor.

The factors of 955 are 1, 5, 191, 955

The factors of 2498 are 1, 2, 1249, 2498

The HCF of 955,2498 is 1.

Lets's calculate GCF of 955,2498

Greatest Common Factor (GCF) of 955,2498 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 955,2498 By Matching Biggest Common Factor Method

Greatest Common Factor of 955,2498 By Matching Biggest Common Factor Method

Now, list down the factors of 955

:

1,5,191,955

Now, list down the factors of 2498

:

1,2,1249,2498

Greatest Common Factor

We found the factors 955,2498 . The biggest common factor number is the GCF number.
So the greatest common factor 955,2498 is 1.

Lets's calculate LCM of 396,1814

Lowest Common Multiple of 396,1814 using Common Division

2 396, 1814
198, 907

∴ So the LCM of the given numbers is 2 x 198 x 907 = 359172

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/359172

Therefore, the GCF of Fractions 955/396,2498/1814 is 1/359172

Least Common Multiple of 396,1814 with GCF Formula

Least Common Multiple of 396,1814 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 396,1814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(396,1814) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(396,1814) x common factors =2 x 1 = 2

LCM(396,1814) = ( 396 × 1814 ) / 2

LCM(396,1814) = 718344 / 2

LCM(396,1814) = 359172


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 955/396, 2498/1814

1. What is the HCF of 955,2498?

The HCF of 955,2498 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 955/396, 2498/1814?

Answer: GCF of Numerators as per given numbers 955/396, 2498/1814 is

GCF of Numerators i.e. for 955,2498 is 1

LCM of denominators i.e. for 396,1814 is 359172.

Thus, GCF of Fractions is 1/359172.Finally, GCF of Fractions for 955/396, 2498/1814 is 1/359172.